7x(3x-7)=43

Simple and best practice solution for 7x(3x-7)=43 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 7x(3x-7)=43 equation:


Simplifying
7x(3x + -7) = 43

Reorder the terms:
7x(-7 + 3x) = 43
(-7 * 7x + 3x * 7x) = 43
(-49x + 21x2) = 43

Solving
-49x + 21x2 = 43

Solving for variable 'x'.

Reorder the terms:
-43 + -49x + 21x2 = 43 + -43

Combine like terms: 43 + -43 = 0
-43 + -49x + 21x2 = 0

Begin completing the square.  Divide all terms by
21 the coefficient of the squared term: 

Divide each side by '21'.
-2.047619048 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '2.047619048' to each side of the equation.
-2.047619048 + -2.333333333x + 2.047619048 + x2 = 0 + 2.047619048

Reorder the terms:
-2.047619048 + 2.047619048 + -2.333333333x + x2 = 0 + 2.047619048

Combine like terms: -2.047619048 + 2.047619048 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + 2.047619048
-2.333333333x + x2 = 0 + 2.047619048

Combine like terms: 0 + 2.047619048 = 2.047619048
-2.333333333x + x2 = 2.047619048

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = 2.047619048 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = 2.047619048 + 1.361111112

Combine like terms: 2.047619048 + 1.361111112 = 3.40873016
1.361111112 + -2.333333333x + x2 = 3.40873016

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 3.40873016

Calculate the square root of the right side: 1.846274671

Break this problem into two subproblems by setting 
(x + -1.166666667) equal to 1.846274671 and -1.846274671.

Subproblem 1

x + -1.166666667 = 1.846274671 Simplifying x + -1.166666667 = 1.846274671 Reorder the terms: -1.166666667 + x = 1.846274671 Solving -1.166666667 + x = 1.846274671 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.166666667' to each side of the equation. -1.166666667 + 1.166666667 + x = 1.846274671 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + x = 1.846274671 + 1.166666667 x = 1.846274671 + 1.166666667 Combine like terms: 1.846274671 + 1.166666667 = 3.012941338 x = 3.012941338 Simplifying x = 3.012941338

Subproblem 2

x + -1.166666667 = -1.846274671 Simplifying x + -1.166666667 = -1.846274671 Reorder the terms: -1.166666667 + x = -1.846274671 Solving -1.166666667 + x = -1.846274671 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.166666667' to each side of the equation. -1.166666667 + 1.166666667 + x = -1.846274671 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + x = -1.846274671 + 1.166666667 x = -1.846274671 + 1.166666667 Combine like terms: -1.846274671 + 1.166666667 = -0.679608004 x = -0.679608004 Simplifying x = -0.679608004

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.012941338, -0.679608004}

See similar equations:

| 8.25+1x=9.5 | | X^2-100/x^2=-21 | | 10(v+3)-4v=2(3v+2)-10 | | (1)/(3)+(1)/(4)=(1)/(n) | | 1/6(2x-8)=8 | | 121.2+1x=7 | | 118.2+1x=7 | | 3x+37=10x | | 5/9(48) | | 6-2=5x-9x+10 | | 8-(n-1)+3n-7=n-3 | | 5(2X-10)+14=19/2 | | 0.006(x+3)=0.007x+0.014 | | (y)-(6)/(y)=(5) | | 0.70x+0.05(20-x)=0.10(127) | | 4=-3r+2r | | 6(x+1)=3(5+3x) | | h=72t-16t^2 | | 10s+20=2 | | 0.15y+0.09(y+7000)=2790 | | Y=(X+6)/(5X-15)-6/(X-3)-2/5 | | 126/4 | | 126/2 | | 126/3 | | 0=x/8 | | 2[k-(3k+16)+10]=2(k+6) | | 12.5+1x=5.25 | | (5p-3)+(7p+15)=180 | | (4x+24)=(7x+3) | | 5(0.5)+12(0.5)+13(0.5)= | | 18.50+1.00x=26.50 | | (7x-14)+(2x+5)=180 |

Equations solver categories